Applications of a novel integral transform to partial differential equations

Volume 10, Issue 2, pp 528--534 http://dx.doi.org/10.22436/jnsa.010.02.18

Publication Date: February 20, 2017 Submission Date: December 07, 2016

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Authors

Xin Liang - State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, 221116, P. R. China. Feng Gao - State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, 221116, P. R. China. - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China. Ya-Nan Gao - State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, 221116, P. R. China. - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China. Xiao-Jun Yang - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China.

Abstract

In this paper, we establish and perfect the dualities among the Laplace transform (LT), Laplace-Carson transform (LCT), Sumudu transform (ST), and a novel integral transform (NIT). In addition, some novel properties of the NIT are explored and the NIT is applied to solve some partial differential equations (PDEs).

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ISRP Style

Xin Liang, Feng Gao, Ya-Nan Gao, Xiao-Jun Yang, Applications of a novel integral transform to partial differential equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 528--534

AMA Style

Liang Xin, Gao Feng, Gao Ya-Nan, Yang Xiao-Jun, Applications of a novel integral transform to partial differential equations. J. Nonlinear Sci. Appl. (2017); 10(2):528--534

Chicago/Turabian Style

Liang, Xin, Gao, Feng, Gao, Ya-Nan, Yang, Xiao-Jun. "Applications of a novel integral transform to partial differential equations." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 528--534

Keywords

Laplace transform
Laplace-Carson transform
Sumudu transform
partial differential equations.

MSC

44A99
83C15
76R50
35Q99

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